Pith Number

pith:B3M2FFDL

pith:2020:B3M2FFDL7ZEA5HKU36P7QP6KOR

not attested not anchored not stored refs pending

Graph Drawing via Gradient Descent, $(GD)^2$

Felice De Luca, Mingwei Li, Reyan Ahmed, Sabin Devkota, Stephen Kobourov

arxiv:2008.05584 v1 · 2020-08-12 · cs.DS · cs.CG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3M2FFDL7ZEA5HKU36P7QP6KOR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T01:26:54.909588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ed9a2946bfe480e9d54df9ff83fca7479a91873a5ada052c598c8b6fc448d32

Aliases

arxiv: 2008.05584 · arxiv_version: 2008.05584v1 · doi: 10.48550/arxiv.2008.05584 · pith_short_12: B3M2FFDL7ZEA · pith_short_16: B3M2FFDL7ZEA5HKU · pith_short_8: B3M2FFDL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/B3M2FFDL7ZEA5HKU36P7QP6KOR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0ed9a2946bfe480e9d54df9ff83fca7479a91873a5ada052c598c8b6fc448d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f28304b6e9b6cd0da1d50547ea7a72d8c512a026578b85b945c749aad57eb611",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2020-08-12T21:56:51Z",
    "title_canon_sha256": "76329404f480a1ebb61ac5f39cf44cd07789b929c97b572b218eb4939de12d95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.05584",
    "kind": "arxiv",
    "version": 1
  }
}